Last I knew nobody knows who runs the Genovese's. I know there are a few candidates:
Genovese Crime Family Boss Unknown Acting Boss: Daniel "Danny the Lion" Leo Street Boss: Liborio "Barney" Bellomo Underboss: Venero "Benny Eggs" Mangano Consigliere Dominick "Quiet Dom" Cirillo New Jersey Faction Boss: Unknown
And for that matter, who runs Jersey for them and Springfield while we're at it.
"Goodfellas don't sue Goodfellas....Goodfellas kill Goodfellas." - Salvatore Profaci